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Constructing the real numbers in HOL

https://doi.org/10.1007/bf01384233
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What this work says

Outgoing claims: the papers this work cites, builds on, or argues with.

inferredcites →https://doi.org/10.1007/3-540-56944-8_68openalex-snapshot
Reasoning about the reals: the marriage of HOL and maple
inferredcites →https://doi.org/10.1007/978-3-642-59312-3openalex-snapshot
Elements of Mathematics
inferredcites →https://doi.org/10.1007/978-3-642-61667-9openalex-snapshot
Constructive Analysis
inferredcites →https://doi.org/10.1007/bf01187947openalex-snapshot
A contribution to the theory of magnitudes and the foundations of analysis
inferredcites →https://doi.org/10.1007/bfb0021090openalex-snapshot
Implementing constructive real analysis (preliminary report)
inferredcites →https://doi.org/10.1007/bfb0032003openalex-snapshot
Prom timed to hybrid systems
inferredcites →https://doi.org/10.1016/0001-8708(75)90115-2openalex-snapshot
The real numbers as a wreath product
inferredcites →https://doi.org/10.1016/1385-7258(76)90055-xopenalex-snapshot
Defining reals without the use of rationals
inferredcites →https://doi.org/10.1201/9781439864159openalex-snapshot
On Numbers and Games
inferredcites →https://doi.org/10.2307/2324035openalex-snapshot
The Derivative a la Caratheodory
inferredcites →https://doi.org/10.4169/000298910x484726openalex-snapshot
American Mathematical Monthly
inferredcites →https://doi.org/10.5860/choice.45-1502openalex-snapshot
A first course in mathematical analysis

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

inferred← citeshttps://doi.org/10.1007/11541868_8openalex-snapshot
A HOL Theory of Euclidean Space
inferred← citeshttps://doi.org/10.1007/3-540-56944-8_68openalex-snapshot
Reasoning about the reals: the marriage of HOL and maple
inferred← citeshttps://doi.org/10.1007/3-540-57826-9_134openalex-snapshot
Extending the HOL theorem prover with a computer algebra system to reason about the reals
inferred← citeshttps://doi.org/10.1007/3-540-58450-1_46openalex-snapshot
Reasoning about real circuits
inferred← citeshttps://doi.org/10.1007/3-540-60275-5_65openalex-snapshot
Floating point verification in HOL
inferred← citeshttps://doi.org/10.1007/978-3-540-30142-4_1openalex-snapshot
Error Analysis of Digital Filters Using Theorem Proving
inferred← citeshttps://doi.org/10.1007/978-3-540-30494-4_4openalex-snapshot
A Methodology for the Formal Verification of FFT Algorithms in HOL
inferred← citeshttps://doi.org/10.1007/978-3-642-58622-4_9openalex-snapshot
Computers, Reasoning and Mathematical Practice
inferred← citeshttps://doi.org/10.1007/bf01384234openalex-snapshot
Modeling multi-rate DSP specification semantics for formal transformational design in HOL
inferred← citeshttps://doi.org/10.1007/bfb0105402openalex-snapshot
Elements of mathematical analysis in PVS
inferred← citeshttps://doi.org/10.1007/s001650200009openalex-snapshot
POP, A Broad-Spectrum Programming Language, 1967–2002
inferred← citeshttps://doi.org/10.1007/s10703-005-2256-8openalex-snapshot
Formalization of Fixed-Point Arithmetic in HOL
inferred← citeshttps://doi.org/10.1007/s10817-009-9145-6openalex-snapshot
Formalizing an Analytic Proof of the Prime Number Theorem
inferred← citeshttps://doi.org/10.1007/s11786-014-0181-1openalex-snapshot
Coquelicot: A User-Friendly Library of Real Analysis for Coq
inferred← citeshttps://doi.org/10.1016/b978-0-444-89880-7.50023-1openalex-snapshot
An Embedding of Timed Transition Systems in HOL
inferred← citeshttps://doi.org/10.1016/j.entcs.2009.06.020openalex-snapshot
Error Analysis and Verification of an IEEE 802.11 OFDM Modem using Theorem Proving
inferred← citeshttps://doi.org/10.1016/j.jal.2006.11.001openalex-snapshot
Error analysis of digital filters using HOL theorem proving
inferred← citeshttps://doi.org/10.1017/s0960129506005834openalex-snapshot
Constructive analysis, types and exact real numbers
inferred← citeshttps://doi.org/10.1017/s0960129514000437openalex-snapshot
Formalization of real analysis: a survey of proof assistants and libraries
inferred← citeshttps://doi.org/10.1023/a:1006023127567openalex-snapshot
A Skeptic's Approach to Combining HOL and Maple
inferred← citeshttps://doi.org/10.1093/comjnl/bxp023openalex-snapshot
Verifying a Synthesized Implementation of IEEE-754 Floating-Point Exponential Function using HOL
inferred← citeshttps://doi.org/10.1098/rsbm.2018.0019openalex-snapshot
Michael John Caldwell Gordon. 28 February 1948—22 August 2017
inferred← citeshttps://doi.org/10.1109/32.910858openalex-snapshot
An interval logic for real-time system specification
inferred← citeshttps://doi.org/10.1109/access.2025.3552634openalex-snapshot
A Review on Mechanical Proving and Formalization of Mathematical Theorems
inferred← citeshttps://doi.org/10.1109/tcad.2005.857314openalex-snapshot
An approach for the formal verification of DSP designs using Theorem proving
inferred← citeshttps://doi.org/10.1112/s1461157000000267openalex-snapshot
Mechanizing Nonstandard Real Analysis
inferred← citeshttps://doi.org/10.1145/1183278.1183280openalex-snapshot
Defining functions on equivalence classes
inferred← citeshttps://doi.org/10.1155/2015/687152openalex-snapshot
The Formalization of Discrete Fourier Transform in HOL
inferred← citeshttps://doi.org/10.1216/rmj-2015-45-3-737openalex-snapshot
Survey Article: The real numbers–A survey of constructions
inferred← citeshttps://doi.org/10.14236/ewic/fa1997.13openalex-snapshot
The Real Numbers in Z
inferred← citeshttps://doi.org/10.17863/cam.35135openalex-snapshot
Michael John Caldwell Gordon (FRS 1994), 28 February 1948 -- 22 August 2017
inferred← citeshttps://doi.org/10.3390/math9010038openalex-snapshot
Formalization of the Equivalence among Completeness Theorems of Real Number in Coq
inferred← citeshttps://doi.org/10.48550/arxiv.1503.04348openalex-snapshot
The reals as rational Cauchy filters
inferred← citeshttps://doi.org/10.48550/arxiv.1506.03467openalex-snapshot
The real numbers - a survey of constructions
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